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Low-Rank Similarity Mining for Multimodal Dataset Distillation

ICML 2024 · Vision-language and multimodal › Cross-modal learning · approach: Unimodal-to-multimodal representation transfer · 0 citations (OpenAlex)

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Proposes LoRS, which distills a learnable low-rank ground-truth image-text similarity matrix alongside synthetic image-text pairs (built on TESLA/MTT) to improve multimodal contrastive dataset distillation on Flickr30k and COCO.

Problem

Dataset distillation for image-text contrastive learning data is hard because such pairs lack categories and have high batch variance, and existing methods fix the image-text correspondence to identity.

Approach

Jointly learn a ground-truth similarity matrix for synthetic image-text pairs, parameterized as a diagonal plus a low-rank residual (omega*I + alpha/r * L R^T) to keep storage linear, and train contrastive models with continuous losses (weighted BCE or extended InfoNCE) that use this matrix.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add similarity mining with LoRS and weighted BCE instead of the MTT-VL baselineImage-text dataset distillation · Flickr30k, 200 pairsIR@1: 4.6$\pm$0.9 -> 8.6$\pm$0.3Helped
Add similarity mining with LoRS and weighted BCE instead of the MTT-VL baselineImage-text dataset distillation · COCO, 200 pairsIR@1: 1.7$\pm$0.1 -> 2.4$\pm$0.1Helped
Use weighted BCE rather than BCE for the similarity-mining loss (ablation)Similarity mining · Flickr30k, 200 pairsIR@1: 0.6 -> 7.4Helped
Use weighted BCE rather than eNCE for the similarity-mining loss (ablation)Similarity mining · Flickr30k, 200 pairsIR@1: 4.1 -> 7.4Helped
Use weighted BCE rather than BCE for the LoRS loss (ablation)LoRS · Flickr30k, 200 pairsIR@1: 0.1 -> 8.6Helped
Use weighted BCE rather than eNCE for the LoRS loss (ablation)LoRS · Flickr30k, 200 pairsIR@1: 8.2 -> 8.6Helped
Vary low-rank residual rank from 5 to 1 (ablation)LoRS_wBCE · Flickr30k, 200 pairsIR@1: 8.6 -> 7.2Hurt
Vary low-rank residual rank from 5 to 10 (ablation)LoRS_wBCE · Flickr30k, 200 pairsIR@1: 8.6 -> 7.8Hurt
Vary low-rank residual rank from 5 to 20 (ablation)LoRS_wBCE · Flickr30k, 200 pairsIR@1: 8.6 -> 7.9Hurt
Add low-rank components L and R (ablation)LoRS_wBCE · Flickr30k, 200 pairsIR@1: 7.4 -> 8.6Helped
Add low-rank components L and R and diagonal weights ω (ablation)LoRS_wBCE · Flickr30k, 200 pairsIR@1: 0.2 -> 8.6Helped
Learn synthetic images rather than fixing them during distillation (ablation)LoRS_wBCE · Flickr30k, 200 pairsIR@1: 4.9 -> 8.6Helped

Surprising findings

Limitations

Experimental setup

Datasets: Flickr30k COCO

Benchmarks: Flickr30k COCO

Metrics: IR@1 IR@5 IR@10 TR@1 TR@5 TR@10

Baselines: Random coreset Herding K-center Forgetting MTT-VL TESLA_wBCE DC DM

Builds on: TESLA MTT CLIP InfoNCE

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